Question

Find the length of the tangent from a point, which is 9.1 cm away from the centre of the circle, whose radius is 8.4 cm.​

Answer 1

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Find the length of the tangent from a point, which is 9.1 cm away from the centre of the circle, whose radius is 8.4 cm.

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Radius of the circle = r = 8.4 cm

Distance between centre to the point = d = 9.1 cm

Length of the tangent = l = √d² - r²

➡ √(9.1)²- (8.4)²

➡ √82.81 - 70.56

➡ √12.25

➡ 3.5 cm

.°. Length of the tangent = 3.5 cm

Answer 2

Given,

Radius of circle = 8.4 cm

Distance = 9.1 cm

We need to find length

We know that

$l = \sqrt{ {d}^{2} - {r}^{2} }$

$l = \sqrt{ {9.1}^{2} - {8.4}^{2} }$

$l = \sqrt{82.81 - 70.56}$

$l = \sqrt{12.25}$

$l = 3.5cm$